`2/(sqrt5+sqrt3)-3/(sqrt6+sqrt3)+1/(sqrt6+sqrt5)=?`

6/(sqrt5 + sqrt3)

6/(sqrt5 - sqrt3)

6/(sqrt5 + sqrt3)

Show that (sqrt5 + sqrt3)/(sqrt5 - sqrt3) - (sqrt5 - sqrt3)/(sqrt5 + sqrt3) = 2 sqrt15

Show that (sqrt5+sqrt3)/(sqrt5-sqrt3)-(sqrt5-sqrt3)/(sqrt5+sqrt3)=2sqrt15

Show that: 1/((3-sqrt8))-1/((sqrt8-sqrt7))+1/((sqrt7-sqrt6))-1/((sqrt6-sqrt5))+1/((sqrt5-2))=5

Prove that: 1/(3-sqrt8)-1/(sqrt8-sqrt7)+1/(sqrt7-sqrt6)-1/(sqrt6-sqrt5)+1/(sqrt5-2)=5

(1+sqrt2)/(sqrt5+sqrt3)= ((1+sqrt2)xx(sqrt5-sqrt3))/((sqrt5+sqrt3)xx(sqrt5-sqrt3))=

The value of { 1/(sqrt6 - sqrt5) - 1/(sqrt5 - sqrt4) + 1/(sqrt4 - sqrt3) - 1/(sqrt3 - sqrt2) + 1/(sqrt2 - 1)} is :